There was a sudden silence in the private room.

At this moment, the curiosity of the professors has also been suspended, silently waiting for Zhang Chunlei to come up with the question.

After all, group theory is a separate branch of mathematics, and even if you have studied advanced mathematics by yourself with a complete system, you can only be blind when faced with group theory topics.

Math geniuses in high school have heard of advanced math and linear algebra in advance.

But high school kids know group theory......

That's really a knife in the ass—an eye-opener.

After a while, Zhang Chunlei had already thought of the topic and said: "Well, little guy, listen up, this is a proof problem, in a finite group G, for two different second-order elements, if the two are not conjugated, there is another second-order element, which is interchangeable with the former. ”

When this question was spoken, all the professors in the private room admired in their hearts that Lao Zhang had a level and was too good at solving the question.

How so?

This is not a difficult problem in group theory, it can even be said to be a basic problem, and it is very interesting.

However, in order to solve this problem, it is necessary to have a thorough understanding of several extremely important concepts in group theory.

For example, finite groups, conjugated, commutative, order of groups, elements......

At the same time, it is also necessary to have a pioneering mathematical thinking, because if you want to solve this problem quickly, you can actually use the mathematical methods that you have been indirectly exposed to in high school.

It's a wonderful question.

It's hard to say, for people who have studied systematically and learned group theory, it doesn't take too long to figure it out.

It's not difficult, even if the world champion of the Mathematics Olympiad comes, he probably won't even be able to understand the questions.

Looking at Qiao Ze, who had fallen into deep thought, Zhang Chunlei said with a smile: "Haha, little friend, don't worry, think slowly, as long as you ...... before the end of today's tea."

"I've figured out how to prove it, by induction." Qiao Ze suddenly interrupted Zhang Chunlei's words.

"Huh?" Everyone was stunned.

This Nima, it's too fast, isn't it?

It is no exaggeration to say that many professors on the scene still only have a clue......

"Suppose there is a second-order element m, mm is equal to 1, m is equal to xm, and my is equal to ym."

"Let mk be equal to (xy)^k, and if mk is equal to (yx)^k, then the proof is complete.

"If mk is not equal to (yx)^k, then for j is less than k,"

"If J+K is equal to an even number, then there is H, 2H is equal to J+K, (xy)^h is not equal to (Yx)^H,"

"If J+K is equal to an odd number, then there is H, 2H+1 is equal to J+K, Z is equal to (xy)^(H+1), Z is not equal to Xz"

"Then (yx)^h is not equal to (xy)^(h+1), so it can be proved that mk is not equal to mj."

"In the end, because G is a finite group, this process will definitely end."

"It's done."

Li Jiangao silently took a cup of tea that Zhang Chunlei had just brewed from the tea set, and then drank it all.

As long as it's not me who is shocked, it still feels fun.

Especially looking at the trance-like complex expression on Lao Zhang's face on the other side, it made him want to laugh.

Now we all know that this kid is against the sky, right?

"Ahem...... Do you really know group theory? ”

After reacting, Zhang Chunlei sighed with emotion, then looked at many professors who were still in a daze, and said, "Look, who said that our Chinese generation is not as good as the generation?" Today's children are only in high school, and they have already eaten all the group theories! When I was in high school, I didn't even hear of the term group theory. ”

"Who isn't, Professor Li, where did you kidnap from?" Someone couldn't help but ask.

"Hehe, drink tea, drink tea, say it's okay not to talk about this." Li Jiangao smiled and sold Guanzi.

Because he knew that the more mysterious the Guanzi was selling now, the more interested these people would definitely be in Qiao Ze.

"It's time for you to tell me what the research topic is." Qiao Ze ignored everyone's admiration, and still looked at Zhang Chunlei seriously and asked.

"Okay, but you still have to tell me first, why do you care so much about my Changjiang Scholar topic?"

"Because I want to be a Changjiang Scholar with Uncle Li in the future, and then become an academician, I want to know how difficult it is to become a Changjiang Scholar."

"Poof......

As soon as Qiao Ze's words fell, Li Jiangao squirted out all the sip of tea that had just been swallowed in his mouth. Fortunately, he reacted quickly, turned his head in an instant, and sprayed it all outside, otherwise at least thousands of good tea would be wasted.

"I'm sorry, I'm sorry, Tong Yan Wuji, Tong Yan Wuji......" Putting down the teacup, Li Jiangao explained with a flushed face.

Qiao Ze glanced at Li Jiangao curiously and asked, "Don't you want to be a Changjiang scholar?" ”

"Haha......" everyone in the private room laughed.

Qiao Ze didn't understand what these people were laughing at, but he felt a little unhappy.

As if sensing something, Zhang Chunlei waved his hand, stopped laughing, and then said seriously: "Okay, okay, now it's time for me to fulfill my promise, the topic I reported at that time was the application of group theory in the design of molecular structure calculation models."

Specifically, the model built by group theory is used to completely restore the molecular orbital calculation model and calculation results of the superconjugation effect in toluene. Can you understand? Of course, I can't say that I can make this topic because of my credit, and the teachers of the School of Chemistry have also helped me a lot.

However, when you and your Uncle Li really want to apply for the Changjiang Scholars in the future, you can consider that I will combine academics and applications to choose topics that can solve some practical problems, which is the more inclined topic selection direction of Changjiang and Jieqing in recent years. ”

Zhang Chunlei's words made Qiao Ze fall silent again.

This time, however, the professors didn't expect anything from José.

In fact, even if a high school student understands some group theory, it is impossible for him to fully understand the significance of this achievement from Zhang Chunlei's few words. Mathematics is a basic subject, and when it comes to the stage where you need to choose a topic for research, if you want to solve practical problems, you have to cooperate with other disciplines.

Only pure number theory research is no longer on the list.

It's just that these days, it's too difficult to do pure number theory research and do projects. It can even be said that the road to go is almost blocked.

But then again, Josser's performance has surprised math professors who are accustomed to seeing geniuses.

Self-study group theory in high school, this is really something that can only be done if you have a sick brain, after all, you don't take the college entrance examination.

The scary thing is that he seems to have learned.

However, when the professors' inquiring eyes began to focus on Li Jiangao, and wanted to inquire about the child's situation, Qiao Ze spoke again: "If you want to say this, if you use group theory to build a self-supervised feature decoupling framework, it should also belong to the practical application of group theory, right?" ”

"In my idea, I can use this framework to allow computers to perform downstream causal reasoning tasks, so that programs have causal inference capabilities and unsupervised representation learning capabilities. This may create intelligent programs that are smarter than chat GPT, and reduce the current dependence of artificial intelligence on big data. And I don't have to work with other colleges, because I know a bit about computers. ”

"If this topic is given to the Changjiang Scholars review team, they will be able to recognize it, right?"

After speaking, Qiao Ze looked at the strange eyes of these professors, and added: "This is an idea that I came up with before, and I may not be able to do it." ”